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Finding the Fourth Proportional to 275,575.72, 380,269.70 and 160,864.32

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Solution

The fourth proportional to 275,575.72, 380,269.70 and 160,864.32 is: 221,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,575.72 : 380,269.70 = 160,864.32 : x
  2. Step 2: Convert to fraction form
    275,575.72/380,269.70 = 160,864.32/x
  3. Step 3: Cross multiply
    275,575.72x = 380,269.70 × 160,864.32
  4. Step 4: Simplify right side
    275,575.72x = 61,171,826,707.10
  5. Step 5: Solve for x
    x = 61,171,826,707.10/275,575.72
  6. Step 6: Final answer
    x = 221,978.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.